Vibration and Position Tracking Control of Piezoceramic-Based Smart Structures Via QFT

[+] Author and Article Information
Seung-Bok Choi, Seung-Sang Cho

Smart Structures and Systems Laboratory, Department of Mechanical Engineering, Inha University, Incheon 402-751, Korea

Young-Pil Park

Department of Mechanical Engineering, Yonsei University, Seoul 120-749, Korea

J. Dyn. Sys., Meas., Control 121(1), 27-33 (Mar 01, 1999) (7 pages) doi:10.1115/1.2802438 History: Received November 18, 1996; Online December 03, 2007


This paper presents robust vibration and position tracking control of a flexible smart structure featuring a piezoceramic actuator. A cantilever beam structure with a surface-bonded piezoceramic actuator is proposed, and its governing equation of motion and associated boundary conditions are derived from Hamilton’s principle. The transfer function from control input voltage to output displacement is then established in Laplace domain considering the hysteresis behavior as a structured plant uncertainty. A robust QFT (quantitative feedback theory) compensator is designed on the basis of a stability criterion which prescribes a bound on the peak value of an M-contour in the Nichols chart (NC). In the formulation of the compensator, disturbance rejection specification and tracking performance bounds are specified to guarantee the robustness of the system to the plant uncertainty and external disturbance. A prefilter is also designed for the improvement of step and sinusoidal tracking control performances. Forced-vibration and tracking control performances are investigated through computer simulation and experimental implementation in order to demonstrate the efficiency and robustness of the proposed control methodology.

Copyright © 1999 by The American Society of Mechanical Engineers
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